We are not talking about independent methods, the study was about calibrating C14 clocks. Both the C14 and the “couting of layers” is based on the assumption that these are annual records, if the assumption is wrong both C14 and counting would be wrong.
The problem with this concerning lake lamela is that they are falsified as annual by direct observation of each layer forming in recent history, and older lamela are physically and chemically exactly like those forming today. There is absolutely no evidence of lake lamela formin any other way.
The study simply exposes a weakness of radiometric dating, apparently one has to calibrate the clocks prior to using the dating technique, and while it is possible to calibrate “clocks” that are a few thousand years old, who has ever calibrated clocks that are millions of years old? If the ratio of C14-C12 is not constant as the study shows, what makes you think that the ratio of the different isotopes Argon has always been constant? (the implication is that if the ratio of argon has not been constant, then the Ar-Ar dating method wouldn’t work).
The IF assumptions you assert have no basis in any of the evidence, and is only base don a hypothetical 'arguing from ignorance,' without any direct observable evidence to justify the IFs you assert. Carbon 14 radiometric dating does not go back millions of years. C14 dating has been confirmed with the direct comparisons with lake lamela counting for the full range of C14 possible dating. Yes, multiple dating methods do confirm the dating millions of years
+ the fact that my argument is not that we never have examples of independent verification, my arguments that fossils are usually not dated by multiple independent methods, and I supported the assertion with a source. ¿do you have a source that suggests otherwise?....It is specially rare to have independent verification with fossils that are millions of years old.
Much of your argument is arguing from ignorance of 'What IF? possibilities totally without any evidence to support your assertions. Can you provide any evidence for your negative assertions as to what maybe have been the conditions in the past that are different than today?
Statements concerning 'what is usually dated by multiple independent methods' is a subjective anecdotal claim, because it is a fact that the major peer reviewed research concerning fossils and strata are dated by multiple methods as a requirement for verifying the dates of the fossils and strata.